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23805252 = 2235191289
BaseRepresentation
bin101101011001…
…1110101000100
31122210102200000
41122303311010
522043232002
62210121300
7406225032
oct132636504
948712600
1023805252
111248a269
127b80230
134c16463
143239552
15215361c
hex16b3d44

23805252 has 72 divisors (see below), whose sum is σ = 65738400. Its totient is φ = 7511616.

The previous prime is 23805247. The next prime is 23805281. The reversal of 23805252 is 25250832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17824 + ... + 19112.

Almost surely, 223805252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23805252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32869200).

23805252 is an abundant number, since it is smaller than the sum of its proper divisors (41933148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23805252 is a wasteful number, since it uses less digits than its factorization.

23805252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23805252 is about 4879.0626148882. The cubic root of 23805252 is about 287.6675852185.

The spelling of 23805252 in words is "twenty-three million, eight hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1289 1539 2052 2578 3078 3867 4617 5156 6156 7734 9234 11601 15468 18468 23202 24491 34803 46404 48982 69606 73473 97964 104409 139212 146946 208818 220419 293892 313227 417636 440838 626454 661257 881676 1252908 1322514 1983771 2645028 3967542 5951313 7935084 11902626 23805252